Imagine you have a large supply of 3kg and 8kg weights. How many of each weight would you need for the average (mean) of the weights to be 6kg? What other averages could you have?
If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?
Estimate areas using random grids
This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.
Decide which charts and graphs represent the number of goals two football teams scored in fifteen matches.
Carry out some time trials and gather some data to help you decide on the best training regime for your rowing crew.
Play around with sets of five numbers and see what you can discover about different types of average...
Can you do a little mathematical detective work to figure out which number has been wiped out?
How can people be divided into groups fairly for events in the Paralympics, for school sports days, or for subject sets?
Can you decide whether these short statistical statements are always, sometimes or never true?
Does weight confer an advantage to shot putters?
Invent a scoring system for a 'guess the weight' competition.